Find the integral.
dx
A. - + C
B. - + C
C. + C
D. - + C
Answer: A
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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = -10i + 9j + 3k , S is the rectangular surface z = 0, 0 ? x ? 7, and 0 ? y ? 5, direction k
A. 105 B. 0 C. 315 D. -350
Solve the problem.Find the foci and asymptotes of the following hyperbola: -
= 1
A. Foci: (-25, 0), (25, 0); Asymptotes: y = x, y = -
x
B. Foci: (0, -20), (0, 20); Asymptotes: y = x, y = -
x
C. Foci: (0, -25), (0, 25); Asymptotes: y = x, y = -
x
D. Foci: (-25, 0), (25, 0); Asymptotes: y = x, y = -
x
Use synthetic division to find the indicated function value.f(x) = x4 - x3 - 27x2 + 28x + 12, f(3)
A. -93 B. -444 C. -261 D. -207
Solve the inequality. Write the solution set in interval notation.(x + 10)(x - 8)(x + 3) > 0
A. (-10, -3) ? (8, ?) B. (-10, -8) ? (3, ?) C. (-?, -10) ? (3, 8) D. (-?, 8) ? (3, 10)